Triangles on A Mountain

Discrete Mathematics Level 5

Consider an \(11 \times 11\) triangular lattice of points. Find the number of distinct triangles of any size that can be formed in this lattice.

For extra credit, generalize this for an \(n \times n\) triangular lattice.

Also try:

Triangles on a Christmas Tree

Combinatorics Senior Challenges III

Number of Triangles!


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